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The Man of Numbers: Fibonacci's Arithmetic Revolution Hardcover – July 5, 2011
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In 1202, a 32-year old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the 7th and 8th centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential.
The young Italian, Leonardo of Pisa (better known today as Fibonacci), had learned the Hindu number system when he traveled to North Africa with his father, a customs agent. The book he created was Liber abbaci, the "Book of Calculation," and the revolution that followed its publication was enormous. Arithmetic made it possible for ordinary people to buy and sell goods, convert currencies, and keep accurate records of possessions more readily than ever before. Liber abbaci's publication led directly to large-scale international commerce and the scientific revolution of the Renaissance.
Yet despite the ubiquity of his discoveries, Leonardo of Pisa remains an enigma. His name is best known today in association with an exercise in Liber abbaci whose solution gives rise to a sequence of numbers--the Fibonacci sequence--used by some to predict the rise and fall of financial markets, and evident in myriad biological structures.
One of the great math popularizers of our time, Keith Devlin recreates the life and enduring legacy of an overlooked genius, and in the process makes clear how central numbers and mathematics are to our daily lives.
- Print length192 pages
- LanguageEnglish
- PublisherWalker Books
- Publication dateJuly 5, 2011
- Dimensions5.8 x 0.82 x 8.39 inches
- ISBN-101408815761
- ISBN-13978-1408815762
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“A must-read for anyone interested in the history of math, including undergraduates, mathematicians, and amateur historians.” ―Library Journal
“The author…is adept at explaining esoteric concepts at the heart of old arithmetic problems, allowing readers to peer into the mind of a medieval Italian businessman.” ―The Wall Street Journal
“A wonderful and vivid tale about the father of modern mathematics” ―Shelf Awareness
“Devlin illuminates one of the most remarkable and underappreciated episodes in cultural history… A surprising visit to a forgotten well-spring of modern thought.” ―Booklist
“Three cheers for Leonardo Pisano… A wonderful book for history-of-science buffs.” ―Kirkus Reviews
About the Author
Keith Devlin is a Senior Researcher and Executive Director at Stanford's H-STAR institute, which he co-founded. He is also a Consulting Professor in the Department of Mathematics, and a co-founder of the Stanford Media X research network. NPR's "Math Guy," he is the author of more than twenty-eight books, including The Math Gene. He lives in Palo Alto, California.
Product details
- ASIN : 0802778127
- Publisher : Walker Books; 1st edition (July 5, 2011)
- Language : English
- Hardcover : 192 pages
- ISBN-10 : 1408815761
- ISBN-13 : 978-1408815762
- Item Weight : 12 ounces
- Dimensions : 5.8 x 0.82 x 8.39 inches
- Best Sellers Rank: #1,529,232 in Books (See Top 100 in Books)
- #276 in Historical Italy Biographies
- #938 in Mathematics History
- #1,025 in Educator Biographies
- Customer Reviews:
About the author
Dr. Keith Devlin is a mathematician at Stanford University in California. He is a co-founder and Executive Director of the university's H-STAR institute and a co-founder of the Stanford mediaX research network. He has written 33 books and over 80 published research articles. His books have been awarded the Pythagoras Prize and the Peano Prize, and his writing has earned him the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. In 2003, he was recognized by the California State Assembly for his "innovative work and longtime service in the field of mathematics and its relation to logic and linguistics." He is "the Math Guy" on National Public Radio. (Archived at http://www.stanford.edu/~kdevlin/MathGuy.html.)
He is a World Economic Forum Fellow, a Fellow of the American Association for the Advancement of Science, and a Fellow of the American Mathematical Society. His current research is focused on the use of different media to teach and communicate mathematics to diverse audiences. In this connection, he is a co-founder and Chief Scientist of an educational technology company called BrainQuake, that designs and build mathematics learning video games. He also works on the design of information/reasoning systems for intelligence analysis. Other research interests include: theory of information, models of reasoning, applications of mathematical techniques in the study of communication, and mathematical cognition.
He writes a monthly column for the Mathematical Association of America, "Devlin's Angle": http://www.maa.org/devlin/devangle.html; maintains a blog: https://profkeithdevlin.org; and writes articles for the Huffington Post: http://www.huffingtonpost.com/author/keithdevlin-162
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Customers find the mathematics content interesting, well-written, and solid. They also describe the book as a great read that they learned a lot from. Opinions are mixed on readability, with some finding it very accessible and others saying it's a little dry and tough to read.
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Customers find the mathematics content interesting, excellent, and accessible to the general audience. They also say the book is nicely balanced between rigorous historical sources and theoretical precision, well written, and described. Customers also mention the book provides great information about the numbering system and a solid accomplishment.
"...It has remarkable mathematical properties, and the numbers show up in nature with surprising frequency...." Read more
"The writing style is pleasing and the story intriguing, but some parts repeated a couple of times. Overall, it was a good buy...." Read more
"...I enjoyed the easy writing style and the clear description of the sources of the information in the book...." Read more
"...But it is an engrossing and well-told story of how the numbers and arithmetic operations that have become such an essential part of our lives came..." Read more
Customers find the book a great read that is entertaining.
"...The book was an instant success, so that Fibonacci issued different versions of it, and also others got into the act...." Read more
"...Equally entertaining." Read more
"This book is an immensely enjoyable read, and nobody needs to be a mathematician to understand it...." Read more
"...It is a great read, and I learned a lot from it...." Read more
Customers have mixed opinions about the readability of the book. Some find it very accessible, while others say it's a little dry and tough to read.
"...Overall it remains very accessible.A wonderful immersion into the 13th century italian renaissance...." Read more
"...In the beginning of the text the '2' in squared entities is not super-scripted. In later part this is done properly.-..." Read more
"...Enough "math meat" for him and enough simplicity of explanation for me!" Read more
"...It is interesting but not the best read in the world. But one thing for sure is that if you read this book, numbers are your friend." Read more
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Although Devlin's book is supposed to be about its title character, it isn't a biography. Unless some librarian discovers a long-lost manuscript someday, Fibonacci will never have a biography. We know a little about him and his influences, all of which Devlin tells us, but details like his place and date of birth and death, family life, or what he looked like just don't exist. Fibonacci's father, a merchant, took him to north Africa when the boy was fifteen. There, he learned the Arabic numbers and spent a decade in training from mathematicians. After he returned to Pisa, he published his masterwork in 1202, _Liber abbaci_, "Book of Calculation," a 600-page introduction to a better way of working with numbers. The book was not addressed to mathematicians, but to merchants. Fibonacci showed how what he called the "Indian figures" could be used to write any number, the ease with which they could perform the four basic calculator functions, how fractions could be used, how square and cube roots could be taken, and more. Quickly a merchant who insisted on using Roman numerals and counting boards was surpassed in efficiency by those who mastered the new system. The book was an instant success, so that Fibonacci issued different versions of it, and also others got into the act. In the next century, maybe a thousand or more similar manuscripts were written in Italian vernacular on the same themes. Textual analysis of these works all show that they were clearly beholden to Fibonacci's original.
In a final chapter, Devlin writes about the Fibonacci Numbers; if you know Fibonacci's name, it ought to be for the Arabic numbers you see every day, but probably it is due to a little problem he put into _Liber abbaci_, about rabbits who breed through generations, and how to count the number of pairs in each generation. It is the series 1, 1, 2, 3, 5, 8, 13, and so on, each number being the sum of the pair preceding it. It has remarkable mathematical properties, and the numbers show up in nature with surprising frequency. Fibonacci, however, didn't originate the series, and his name was attached to it only in the 1870s. They are interesting in their own right, but they aren't really Fibonacci's. Appreciating Fibonacci for his real achievement is the aim of this book, and Devlin presents a convincing argument to show that Fibonacci did nothing less than start the modern arithmetic revolution.
EDIT: I was disappointed to not see mention of the critical mistake Fibonacci made and from which the world has since suffered: he didn't reverse the digit order. The arabs from which he learned the numbers wrote (and write) prose right-to-left and the numbers also, meaning the least significant digits came first ("little endian" in computer terms).
When Fibonacci brought the numbers to the western world he kept the same digit order as his source, which means we now write numbers most significant digit first. One of the practical implication is that formatting column of numbers in the middle of prose is awkward as we need to pad them to the greatest length.
Example
Sales by month
Jan $1000
Feb $20000
Mar $890005
where we could have been writing
Sales by month
Jan $0001
Feb $00002
Mar $500098
Very little is known about the life of the man we now refer to as Fibonacci. He was born Leonardo Bonacci in Pisa, Italy, around 1170 AD. Leonardo was the son of a customs agent and spent some time interacting with Muslim merchants, where he is thought to have learned the basics of the Hindu-Arabic number system which we still use today. Mr. Devlin did an excellent job of piecing together the scattered facts concerning Fibonacci's life.
There was really no set standard as to how people were named in the twelfth century. Many times people were named after the city in which they were born, therefore Fibonacci has been referred to as Leonardo Pisano. But he has also been known as Leonardo Pisano Bigollo and Leonardo Fibonacci. No wonder the confusion regarding his life history. The author points out that the Arabic standard of naming was no better, and as many of the early mathematical breakthroughs were from Arab regions, we can not be certain who was originally responsible. Also making it difficult to discover mathematical innovators was the common practice of copying other works without giving credit to the original author – what we would call plagiarism today. Since so many manuscripts were lost over time, there is just no way to tell if the existing manuscripts contained only the ideas of the author.
What we do know is that Fibonacci did not invent the number system he put forth in his 1202 publication Liber Abaci. While he was a talented mathematician, his real contribution to society rested in his marketing skills. He had the insight to know how to make the number system available to ordinary citizens. His idea was to package it to directly to the masses, and he did it in such a way that they could both appreciate and understand the concepts. Devlin makes the comparison to Bill Gates and Steve Jobs - they did not invent the computer, but were able to market them in such a way that now they are common in almost every household.
The sequence that bears Fibonacci’s name, and to be honest was previously the only thing I knew about him, was almost an afterthought. In his Liber Abaci he inserted a whimsical puzzle about growing rabbit populations - how many rabbits are created by one pair in one year? He again did not create the problem, but his solution created the series of numbers he is most famous for - the Fibonacci sequence. I also did no realize how common Fibonacci numbers appear in nature - from petals on flowers to leaves on stems and more.
Even though I have a degree in math, I more enjoyed the history lesson presented in this book. I had no idea how important Fibonacci was in the development of modern mathematics. Whether you are good at math or not, whether you love it or hate it, the fact is that our modern world would not exist today without it. This book does include some word problems and their solutions and would be a snoozer for the mathematically challenged, but the history lesson more than makes up for it in my opinion. Devlin’s writing will not keep you on the edge of your seat, but at the same time it will not be a cure for insomnia that text books seem to be. I learned something and that is never a bad thing. I am glad I read this and I rate it 3 stars.
Top reviews from other countries
malheureusement, l'auteur ecrit assez mal et son livre est mal structure.
par exemple, il parle pendant 3 pages de methodes de calcul sans les expliquer clairement. c'est quand meme dommage.
フィボナッチの
KEITH DEVLIN